Find the LCM of 133, 667, 116, 729 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 133, 667, 116, 729. So, keep reading to learn more.
Given numbers are 133,667,116,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,667,116,729 is 258681276.
Find LCM of 133,667,116,729 with Prime Factorization
29 | 133, 667, 116, 729 |
133, 23, 4, 729 |
Multiply the prime numbers at the bottom and the left side.
29 x 133 x 23 x 4 x 729 = 258681276
Therefore, the lowest common multiple of 133,667,116,729 is 258681276.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
133 x 667 x 116 x 729 = 7501757004
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
133 : 1, 7, 19, 133
667 : 1, 23, 29, 667
116 : 1, 2, 4, 29, 58, 116
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,667,116,729, is 1.
Now, the common factors can be found like this.
133:7x 19
667:23x 29
116:2x 2x 29
729:3x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 7501757004/(1x29)
LCM = 7501757004/29
LCM = 258681276
Thus, we can understand that the LCM of 133,667,116,729 is 258681276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 667, 116, 729?
Answer: LCM of 133, 667, 116, 729 is 258681276.
2. How to calculate the LCM of 133, 667, 116, 729?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 133, 667, 116, 729.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.